136706330880 has 1080 divisors, whose sum is σ = 578560086720. Its totient is φ = 30725775360.

The previous prime is 136706330869. The next prime is 136706330881. The reversal of 136706330880 is 88033607631.

136706330880 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 0 + 633 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136706330881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 360702531 + ... + 360702909.

It is an arithmetic number, because the mean of its divisors is an integer number (535703784).

Almost surely, 2^136706330880 is an apocalyptic number.

136706330880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136706330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289280043360).

136706330880 is an abundant number, since it is smaller than the sum of its proper divisors (441853755840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136706330880 is an equidigital number, since it uses as much as digits as its factorization.

136706330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136706330880 in words is "one hundred thirty-six billion, seven hundred six million, three hundred thirty thousand, eight hundred eighty".